Highest Common Factor of 9358, 3476 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 9358, 3476 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9358, 3476 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 9358, 3476 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 9358, 3476 is 2.
HCF(9358, 3476) = 2
HCF of 9358, 3476 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9358, 3476 is 2.
Highest Common Factor of 9358,3476 is 2
Step 1: Since 9358 > 3476, we apply the division lemma to 9358 and 3476, to get
9358 = 3476 x 2 + 2406
Step 2: Since the reminder 3476 ≠ 0, we apply division lemma to 2406 and 3476, to get
3476 = 2406 x 1 + 1070
Step 3: We consider the new divisor 2406 and the new remainder 1070, and apply the division lemma to get
2406 = 1070 x 2 + 266
We consider the new divisor 1070 and the new remainder 266,and apply the division lemma to get
1070 = 266 x 4 + 6
We consider the new divisor 266 and the new remainder 6,and apply the division lemma to get
266 = 6 x 44 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9358 and 3476 is 2
Notice that 2 = HCF(6,2) = HCF(266,6) = HCF(1070,266) = HCF(2406,1070) = HCF(3476,2406) = HCF(9358,3476) .
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Frequently Asked Questions on HCF of 9358, 3476 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 9358, 3476?
Answer: HCF of 9358, 3476 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9358, 3476 using Euclid's Algorithm?
Answer: For arbitrary numbers 9358, 3476 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.